Call Now to Set Up Tutoring:

(888) 888-0446

GED Math : Volume of a Pyramid

Study concepts, example questions & explanations for GED Math

Create An Account

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Volume Of A Pyramid

Pyramid_1

The above square pyramid has volume 100. Evaluate to the nearest tenth.

Possible Answers:

14.1

5.8

17.3

6.7

Correct answer:

6.7

Explanation:

The volume of a square pyramid with base of area and with height is

$V = \frac{1}{3} Bh$ .

The base, being a square of sidelength , has area $x^{2}$ . The height is . Therefore, setting $V = 100, B = x^{2}, h = x$ , we solve for in the equation

$\frac{1}{3} x^{2} \cdot x = 100$

$\frac{1}{3} x^{3} = 100$

$x^{3} = 300$

$x = \sqrt[3]{300} \approx 6.7$

Report an Error

Example Question #2 : Volume Of A Pyramid

A square pyramid whose base has sidelength has volume $2A^{3}$ . What is the ratio of the height of the pyramid to the sidelength of its base?

Possible Answers:

3:1

4:1

6:1

8:1

Correct answer:

6:1

Explanation:

Since the correct answer is independent of the value of , for simplicity's sake, assume that A = 1 .

The volume of a square pyramid with base of area and with height is

$V = \frac{1}{3} Bh$ .

The base, being a square of sidelength 1, has area 1. In the volume formula, we set B = 1 and $V = 2 A^{3} = 2 \cdot 1^{3} = 2$ , and solve for :

$\frac{1}{3} \cdot 1 \cdot h = 2$

$\frac{1}{3} h = 2$

$3 \cdot \frac{1}{3} h =3 \cdot 2$

h = 6

This means that the height-to-sidelength ratio h:A is equal to 6:1 , which is the correct response.

Report an Error

Example Question #91 : 3 Dimensional Geometry

Suppose a triangular pyramid has base area of 10, and a height of 6. What is the volume?

Possible Answers:

120

Correct answer:

Explanation:

Write the formula for the volume of a pyramid.

$V= \frac{B\times h}{3}$

Substitute the known base area and the height into the formula.

$V= \frac{10\times 6}{3} = \frac{60}{3} = 20$

The answer is:

Report an Error

Example Question #3 : Volume Of A Pyramid

If the base of a pyramid is a square, with a length of 5, and the height of the pyramid is 9, what must be the volume?

Possible Answers:

225

150

Correct answer:

Explanation:

Write the formula for the volume of pyramid.

$V=\frac{Bh}{3}$

The base area of a square is s^2 .

Substituting the side length:

B=s^2 = 5^2 = 25

Substitute the base area and the height.

$V=\frac{25\times 9}{3} = 25\times 3 = 75$

The answer is:

Report an Error

Example Question #5 : Volume Of A Pyramid

Suppose the base area of a pyramid is 24, and the height is 10. What must the volume be?

Possible Answers:

160

$\textup{There is not enough information.}$

720

240

Correct answer:

Explanation:

Write formula for a pyramid.

$V=\frac{(LW)H}{3} = \frac{BH}{3}$

Substitute the base and height.

$V = \frac{24\times 10}{3} = 8\times 10 = 80$

The answer is:

Report an Error

Example Question #6 : Volume Of A Pyramid

Find the volume of a pyramid with a square base area of and a height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula of the volume of a pyramid.

$V = \frac{LWH}{3}$

The base area is represented by . This means the volume is:

$V = \frac{LWH}{3} =\frac{BH}{3}$

Substitute the base and height.

$V=\frac{6(10)}{3} = 20$

The answer is:

Report an Error

Example Question #1 : Volume Of A Pyramid

Find the volume of a square pyramid with a base area of 12 and a height of 4.

Possible Answers:

$\textup{The volume cannot be determined.}$

576

192

Correct answer:

Explanation:

Write the formula for the volume of a pyramid.

$V = \frac{LWH}{3}$

The base area constitutes of the given equation.

Substitute values into the formula.

$V = \frac{12(4)}{3} = 4(4) = 16$

The answer is:

Report an Error

Example Question #8 : Volume Of A Pyramid

Find the volume of a square pyramid if the base area is 2, and the height is 5.

Possible Answers:

$\textup{There is not enough information.}$

$\frac{10}{3}$

Correct answer:

$\frac{10}{3}$

Explanation:

Write the formula for the volume of a pyramid.

$V =\frac{LWH}{3}$

The base area constitutes , and can be replaced with the numerical area.

$V =\frac{LWH}{3} =\frac{BH}{3} = \frac{2\times 5}{3} =\frac{10}{3}$

The answer is: $\frac{10}{3}$

Report an Error

Example Question #1 : Volume Of A Pyramid

If the length, width, and height of a pyramid is 2, 7, and 9, respectively, what must be the volume?

Possible Answers:

180

126

Correct answer:

Explanation:

Write the formula for the volume of a pyramid.

$V= \frac{LWH}{3} = \frac{2(7)(9)}{3} = 2(7)(3) = 42$

The answer is:

Report an Error

Example Question #1 : Volume Of A Pyramid

Find the volume of a pyramid with a length, width, and height of 2,5,12 , respectively.

Possible Answers:

160

120

Correct answer:

Explanation:

Write the volume formula for the pyramid.

$V=\frac{LWH}{3}$

Substitute the dimensions.

$V=\frac{2\times 5 \times 12}{3} = (2)(5)(4) = 40$

The answer is:

Report an Error

View Tutors

Odysseas
Certified Tutor

University of New Hampshire at Manchester, Master of Science, Civil Engineering. National Technical University of Athens, Doc...

View Tutors

Anabel
Certified Tutor

UDELAR, Diploma, Chemistry. IPA, Bachelor of Education, Mathematics.

View Tutors

Raven
Certified Tutor

Purdue University-Main Campus, Bachelor in Arts, Elementary School Teaching.

All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Math Tutors in Houston, MCAT Tutors in Atlanta, SSAT Tutors in Washington DC, Computer Science Tutors in Phoenix, Math Tutors in Phoenix, SAT Tutors in Houston, Chemistry Tutors in Dallas Fort Worth, Statistics Tutors in Atlanta, Reading Tutors in Boston, French Tutors in Los Angeles

Popular Courses & Classes

ISEE Courses & Classes in Denver, ISEE Courses & Classes in Seattle, SAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in San Diego, ACT Courses & Classes in New York City, GRE Courses & Classes in Houston, Spanish Courses & Classes in Seattle, SAT Courses & Classes in San Diego, ACT Courses & Classes in Phoenix

Popular Test Prep

SSAT Test Prep in Phoenix, ACT Test Prep in Phoenix, ISEE Test Prep in Denver, ACT Test Prep in New York City, MCAT Test Prep in Washington DC, SAT Test Prep in Los Angeles, MCAT Test Prep in Phoenix, SSAT Test Prep in Denver, GRE Test Prep in Miami, GMAT Test Prep in Houston

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

GED Math : Volume of a Pyramid

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : Volume Of A Pyramid

Example Question #2 : Volume Of A Pyramid

Example Question #91 : 3 Dimensional Geometry

Example Question #3 : Volume Of A Pyramid

Example Question #5 : Volume Of A Pyramid

Example Question #6 : Volume Of A Pyramid

Example Question #1 : Volume Of A Pyramid

Example Question #8 : Volume Of A Pyramid

Example Question #1 : Volume Of A Pyramid

Example Question #1 : Volume Of A Pyramid

All GED Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: